2553694416 has 480 divisors, whose sum is σ = 9467727360. Its totient is φ = 624070656.

The previous prime is 2553694399. The next prime is 2553694427. The reversal of 2553694416 is 6144963552.

2553694416 is a `hidden beast` number, since 2 + 553 + 6 + 94 + 4 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11151390 + ... + 11151618.

It is an arithmetic number, because the mean of its divisors is an integer number (19724432).

Almost surely, 2^2553694416 is an apocalyptic number.

2553694416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2553694416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4733863680).

2553694416 is an abundant number, since it is smaller than the sum of its proper divisors (6914032944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2553694416 is a wasteful number, since it uses less digits than its factorization.

2553694416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 314 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 2553694416 is about 50534.0916213995. The cubic root of 2553694416 is about 1366.8566675623.

The spelling of 2553694416 in words is "two billion, five hundred fifty-three million, six hundred ninety-four thousand, four hundred sixteen".